Delayed linear difference equations: The method of z-transform

Mahmudov N.

Electronic Journal of Qualitative Theory of Differential Equations, vol.2020, pp.1-12, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2020
  • Publication Date: 2020
  • Doi Number: 10.14232/ejqtde.2020.1.53
  • Journal Name: Electronic Journal of Qualitative Theory of Differential Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.1-12
  • Keywords: Difference equations, Z-transform
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

A system of nonhomogeneous linear difference equations with linear parts given by non-commutative matrices is studied. Representation of its solution is de-rived by means of newly defined delayed perturbation of discrete matrix exponential using the Z-transform. We discard the invertibility condition of matrix of non delayed term used in recent works related to the representation of solutions for delayed linear difference systems.